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Finding the Fourth Proportional to 5,307.04, 7,327 and 3,421.86

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Solution

The fourth proportional to 5,307.04, 7,327 and 3,421.86 is: 4,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.04 : 7,327 = 3,421.86 : x
  2. Step 2: Convert to fraction form
    5,307.04/7,327 = 3,421.86/x
  3. Step 3: Cross multiply
    5,307.04x = 7,327 × 3,421.86
  4. Step 4: Simplify right side
    5,307.04x = 25,071,968.22
  5. Step 5: Solve for x
    x = 25,071,968.22/5,307.04
  6. Step 6: Final answer
    x = 4,724.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.